Details

sample244.0ms

Algorithm

intervals

Results

135.0ms	261×	body	10240	exit
54.0ms	106×	body	1280	valid
25.0ms	77×	body	640	valid
7.0ms	36×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	18×	body	80	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	19	13
2	27	13
3	35	13
4	44	13
5	139	13
done	5000	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.8b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.3b	(- (exp x) (exp (- x)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`times-frac`
9×	`prod-diff`
7×	`distribute-lft-out` `add-log-exp`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`associate-/r*`
3×	`pow1` `expm1-log1p-u` `fma-def` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 94

Calls

3 calls:

13.0ms	(+ (exp x) (exp (- x)))
109.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
23.0ms	(- (exp x) (exp (- x)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (exp x) (exp (- x)))
87.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
44.0ms	(- (exp x) (exp (- x)))

simplify1.9s

Counts

103 → 103

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	147	1789
done	5000	1566

prune214.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

2.0ms

(tanh x)

series128.0ms

Counts

1 → 3

Calls

1 calls:

128.0ms

(tanh x)

simplify3.4s

Counts

15 → 15

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	44	113
1	301	87
done	5000	82

prune48.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma 2/15 (pow x 5) x) (* 1/3 (pow x 3)))
0.2b	(* 1/3 (pow x 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`associate-r`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`fma-neg` `associate-l` `prod-diff` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `fma-udef`

Counts

2 → 54

Calls

2 calls:

6.0ms	(- (fma 2/15 (pow x 5) x) (* 1/3 (pow x 3)))
14.0ms	(* 1/3 (pow x 3))

series112.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(- (fma 2/15 (pow x 5) x) (* 1/3 (pow x 3)))
47.0ms	(* 1/3 (pow x 3))

simplify2.0s

Counts

60 → 60

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	95	709
1	721	642
done	5001	595

prune177.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.0b	(* (exp (- x)) (exp (- x)))
0.7b	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
6.2b	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

94×	`exp-prod`
52×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
24×	`distribute-rgt-neg-in`
20×	`distribute-lft-neg-in`
19×	`pow-prod-down`
18×	`pow1`
17×	`pow-sqr` `pow-prod-up`
13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`frac-times` `neg-mul-1` `associate-/r/`
7×	`exp-neg`
6×	`neg-sub0` `flip3-+` `exp-diff` `swap-sqr` `associate-r` `associate-l` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `times-frac` `associate-r/` `associate-l/` `log1p-expm1-u` `associate-/l*`
3×	`prod-exp` `cbrt-unprod` `difference-of-squares`
2×	`cbrt-undiv` `pow2` `flip3--` `pow-plus` `div-exp` `*-commutative` `flip--` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `prod-diff` `clear-num` `associate-/r*` `un-div-inv` `div-inv`

Counts

4 → 163

Calls

4 calls:

21.0ms	(* (exp x) (exp x))
60.0ms	(* (exp (- x)) (exp (- x)))
73.0ms	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
24.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (exp x) (exp x))
16.0ms	(* (exp (- x)) (exp (- x)))
188.0ms	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
86.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

simplify2.0s

Counts

175 → 175

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	227	2585
done	5000	1740

prune541.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample8.8s

Algorithm

intervals

Results

5.3s	7551×	body	10240	exit
1.9s	3308×	body	1280	valid
879.0ms	2440×	body	640	valid
245.0ms	1225×	body	320	valid
78.0ms	632×	body	160	valid
25.0ms	395×	body	80	valid